Article ID Journal Published Year Pages File Type
6865762 Neurocomputing 2015 15 Pages PDF
Abstract
This article presents a new method of designing the adaptive backstepping controller for triangular fractional order systems with non-commensurate orders. The fractional order indirect Lyapunov method is available for the 0<α<1 case, by introducing the appropriate transformations of frequency distributed model. Meanwhile, based on the semigroup property of fractional order derivative and the fractional order tracking differentiator, we extend the result to the 1<α<2 case. The case of controlling fractional order systems with unknown control input coefficient is also investigated. Simulation examples are given to demonstrate the effectiveness of the proposed controllers.
Related Topics
Physical Sciences and Engineering Computer Science Artificial Intelligence
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